Moving a figure around a fixed point in the plan is called making a rotation
Answer:
The volume of the cylinder is
cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius (
), measured in feet, and height (
), measured in feet, are defined by the following equations:
Cone
(1)
Cylinder
(2)
The ratio of the volume of the cylinder to the volume of the cone is:
(3)
If we know that
, then the volume of the cylinder is:

The volume of the cylinder is
cubic feet.
Answer:
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7531
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg
The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
A. there are 20 boys and 30 girls.
B.
68.7 out of 100 Boys
Girls im not sure, maybe someone else can answer that sorry
Hope I'm right and this helps sorry i didn't get girls.
The answer to is 15 because your trying to make all of the angles add up to 90, which 45+30= 75 so then you only need 15 more to add up to 90.